Galois Connections for Incidence Hopf Algebras of Partially Ordered Sets

@article{Aguiar2000GaloisCF,
  title={Galois Connections for Incidence Hopf Algebras of Partially Ordered Sets},
  author={Marcelo Aguiar and Walter Ferrer Santos},
  journal={Advances in Mathematics},
  year={2000},
  volume={151},
  pages={71-100}
}
Abstract An important well-known result of Rota describes the relationship between the Mobius functions of two posets related by a Galois connection. We present an analogous result relating the antipodes of the corresponding incidence Hopf algebras, from which the classical formula can be deduced. To motivate the derivation of this more general result, we first observe that a simple conceptual proof of Rota's classical formula can be obtained by interpreting it in terms of bimodules over the… 
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